Try to make a mathematical proof based on the linear independence of terms with different powers of t, that says e(A+B)t ‡ eAt Bt if AB ‡ BA

Q: Sketch the graph of the following function and determine whether the function has any absolute…

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Q: can you explain more about how you get fxx, fxy, and fyy

A: Given: The given function is Px,y=e9x+10y-x2-y2-33. Also,  Px=9-2x·e9x+10y-x2-y2-33…

Q: Applying the ratio test to the series you would compute Hence the series diverges lim k 100 ak+1 ak…

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Q: Find the gradient vector field of f(x, y, z)= ln(xy² + sin yz³-5x¹z)

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Q: Let R denotes the triangular region above the x-axis, to the right of the y-axis and to the left of…

A: M=∫01∫01-yfx,ydxdy   =∫01∫01-yydxdy   =∫01yx01-ydy   =∫01y-y2dy   =y22-y3301   =16

Q: Let V be the subspace of P^4 spanned by B = {1,x^2,x^4}. Create a chnage of basis matrix Cd,b if D =…

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Q: Let {V₁,..., Vk} be an orthogonal set in R". Which of the following are true? Select one or more: ✔…

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Q: For Set [le₁>= (1), 1e₂) = (b), (₂) = (?)] then by Gram-Schmidt procedure chevye the above Set to…

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Q: Suppose you want to buy a $140,000 home. You found a bank that offers a 30-year loan at 5.1% APR.…

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Q: The following illustrates an application of optimization using parabolas. A rock is tossed upward.…

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Q: Consider the linear system: x + 2y = 3 and 5x - y = 4, whose exact solution is x = 1, y = 1. a)…

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Q: Determine whether the series 00 n=0 1 OD. n Select the correct choice below and, if necessary, fill…

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Q: Sketch the solid whose volume is given by the iterated integral. 1 1 S²S² (9-x - 6y)dx dy Describe…

A: Given: ∫01∫019-x-6ydxdy. We have to sketch the solid whose volume is given by iterated integral.

Q: Q12B. Assess whether the statement is true or false: The graph shown is a tree. b a True False C d g

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Q: In September, October, and November, a student solves at least one problem per day but not more than…

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Q: The pictures are the answer of the question and the theorem 3, I would to ask why the answer of this…

A: Since determinant of ATA=determinant of AT*determinant of A…

Q: Find the solution to the given system that satisfies the given initial condition. 20-2 x' (t) = 0 5…

A: Given: x't=20-2050202xt , x0=-43-1 To find: xt.

Q: Given the function ƒ(x) = x² – 24x² For your intervals for parts A) and B) • enter your intervals as…

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Q: A person’s birth date consists of the month, day, and year in which that person was born. The domain…

A: Here, relation R is given as a set of people where no two people in group can have same date of…

Q: A body falls in a medium offering a resistance proportional to the speed at any time. If the…

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Q: Find the line integral of F(x, y, z) = x³i + y²j + zk along the line segment C from the origin to…

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Q: The following table shows the amount spent by four U.S. airlines to fly one available seat 1 mile in…

A: Given Data: 1. Total number of empty seats =275. 2. The cost of United Continental, American, and…

Q: Inverse, Converse and Contrapositive Say P and Q are propositions. Given the implication P⇒ Q, or P…

A: P: This book is interesting. Q: I am staying at home. ~P⊃~Q: If this book is not interesting then I…

Q: You deposit $4000 each year into an account earning 5% interest compounded annually. How much will…

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Q: Solve the following initial value problem 1 -2 -1 +-(-3) -- () -1 0 X(0) 0 -2

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Q: Solve: y''' — 5y'' — y' + 5y = 0 y(0) -6, y'(0) y(t) = = = 16, y''(0) = - 78

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Q: Evaluate the series or state that it diverges. In ((k+1)k¯¹) ( In k)( In (k + 1)) 8 Σ k=8 Select the…

A: We need to evaluate the sum: ∑k=8∞lnk+1k-1ln klnk+1. Using the properties of logarithms, it can be…

Q: Use Euler's method with step size 0.4 to estimate y(2), where y(x) is the solution of the…

A: Euler's method is used to approximate solutions to differential equations. The Euler's formula is…

Q: If A  = i - 2j - 3k,  B = 2i + j - k, C = i + 3j - 2k.  Find the (AxB)(B•C)

A: Let us consider two vectors A=ai+bj+ckB=xi+yj+zk Dot product of two vectors is  A·B=ax+by+cz Cross…

Q: metric on R² is d: R² x R² → R$, given by fo 0 ifr=y 1 if x #y. d(x, y) =

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Q: Compute 1 1 ]] emax{z²,²} dA, where max{², y²} denotes the larger of the two numbers 22 and y². 00

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Q: Q20C. In what order are the vertices visited in a pre-order traversal of the tree below? (Enter…

A: Q20C. In-order traversal of a tree is in the order        Root - left child tree - middle child tree…

Q: 6. State if the following function is even or odd algebraically f(x) = 3x5 + x³-7x

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Q: Find the flux of the vector field F = (z,y^, - x) through the helicoid with parameterization r(u, v)…

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Q: solve the following give the general solution : question 1.  y'=y^2•x^3 , y(0)=1

A: Note:  "Since you have posted multiple questions, we will provide the solution only to the first…

Q: a) The critical values are x = For your answers for b & c, (enter your values separated by a comma)…

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Q: 6. Let f(x) = n for all x € ((n + 1)-¹, n−¹], n = 1, 2,.... Prove that f is not integrable on (0,…

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Q: Calculate Sc (6(x² - y)i + 5(y² + x)}) · dr

A: In this question, to find the line integral for the vector valued function along the circle. The…

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A: Maclaurin Series: The formula to find the Maclaurin series is given by:…

Q: Find the c that satisfies the MVT for Integrals. f(x) = x² over [0,4].

A: We know that Mean value theorem(MVT), Suppose f is continuous function on a, b and differentiable on…

Q: A fluid has density 900 kg/m³ and flows with velocity v = zi+yj + zk, where x, y, and z are measured…

A: Given: Density ρx,y,z=900 kg/m3  , v→=xi^+yj^+zk^. To find: The rate of flow outward through the…

Q: the solution is incorrect

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Q: 23. Given that h(x) = -2x + 3 and f(x) = -4x²+x-6. Determine the following: f(x) h(x) a) = b)…

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Q: 2. Make Sense and Persevere A television broadcasting company asked a sample of its customers, "What…

A: Comedy Drama Sports News Total Gender Women 123 215 89 306 733   Men 127 110…

Q: The side of a cylindrical can full of water springs a leak, and the water begins to stream out. (See…

A: H D D2 D3 D4 DH D2H   1 0 0 0 0 0 0   1.15 1 1 1 1 1.15 1.15   1.60 2 4 8 16 3.20 6.40…

Q: (b) By Parseval's formula ΣΙΑ*(v)||2 = ΣΣΚΑ*(vi), v;}/2 = ΣΣΚυ;, A(v;)}2 = ΣΙΑ(v;)||2 < 0. ji…

A: To Explain: The mentioned part of the proof:

Q: Let G be the solid bounded by y = z, y = x², and z = 4. If it has density function p(x, y, z) = xyz,…

A: The value of integral is zero.

Q: termine from the given graph whether the function has any solute extreme values on (a, b). Then…

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Q: Let P be the Cantor set. Let f be a bounded real-valued function on [0, 1] which is continuous at…

A: Given that P be the cantor set.  Let f be a bounded real valued function on 0,1, which is continuous…

Q: Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to…

A: Midpoint rule: ∫abf(x)dx≈Δxfx0+x12+fx1+x22++...+fxn−1+xn2 Here, Δx=b−an and n is the number of…